2001 Volume 50 Pages 165-181
This paper presents the study on the free flexural vibration of a simply supported elliptical plate subjected to a uniform inplane force according to the ordinary thin plate theory. The analysis is rigorously made by the use of the Mathieu function and the modified Mathieu function, which are the solutions of the equation of motion expressed in terms of the elliptical coordinates. Applying the orthogonality of the Mathieu function leads to the frequency equations. The frequency parameters calculated numerically are given in tables and figures for various aspect ratios and inplane force parameters. The buckling of the system will be also discussed in detail.